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Finding the Fourth Proportional to 1,894.41, 2,841.72 and 1,790.55

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Solution

The fourth proportional to 1,894.41, 2,841.72 and 1,790.55 is: 2,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.41 : 2,841.72 = 1,790.55 : x
  2. Step 2: Convert to fraction form
    1,894.41/2,841.72 = 1,790.55/x
  3. Step 3: Cross multiply
    1,894.41x = 2,841.72 × 1,790.55
  4. Step 4: Simplify right side
    1,894.41x = 5,088,241.75
  5. Step 5: Solve for x
    x = 5,088,241.75/1,894.41
  6. Step 6: Final answer
    x = 2,685.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.